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42924420 = 2232571119163
BaseRepresentation
bin1010001110111…
…1100110000100
32222202210020100
42203233212010
541442040140
64132004100
71030565040
oct243574604
988683210
1042924420
1122258830
1212460630
138b7b986
1459b5020
153b7d530
hex28ef984

42924420 has 288 divisors, whose sum is σ = 171924480. Its totient is φ = 8398080.

The previous prime is 42924407. The next prime is 42924443. The reversal of 42924420 is 2442924.

42924420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263259 + ... + 263421.

It is an arithmetic number, because the mean of its divisors is an integer number (596960).

Almost surely, 242924420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42924420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85962240).

42924420 is an abundant number, since it is smaller than the sum of its proper divisors (129000060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42924420 is a wasteful number, since it uses less digits than its factorization.

42924420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42924420 is about 6551.6730687665. The cubic root of 42924420 is about 350.1344245554.

The spelling of 42924420 in words is "forty-two million, nine hundred twenty-four thousand, four hundred twenty".